2(x-3)+5=3(4-x)

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Solution for 2(x-3)+5=3(4-x) equation:


Simplifying
2(x + -3) + 5 = 3(4 + -1x)

Reorder the terms:
2(-3 + x) + 5 = 3(4 + -1x)
(-3 * 2 + x * 2) + 5 = 3(4 + -1x)
(-6 + 2x) + 5 = 3(4 + -1x)

Reorder the terms:
-6 + 5 + 2x = 3(4 + -1x)

Combine like terms: -6 + 5 = -1
-1 + 2x = 3(4 + -1x)
-1 + 2x = (4 * 3 + -1x * 3)
-1 + 2x = (12 + -3x)

Solving
-1 + 2x = 12 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-1 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-1 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 5x = 12 + 0
-1 + 5x = 12

Add '1' to each side of the equation.
-1 + 1 + 5x = 12 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 12 + 1
5x = 12 + 1

Combine like terms: 12 + 1 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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